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A primer of Lebesgue integration[ele...

Bear, H. S.

A primer of Lebesgue integration[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515/.43
書名/作者:	A primer of Lebesgue integration/ H.S. Bear.
作者:	Bear, H. S.
出版者:	San Diego : : Academic Press,, c2002.
面頁冊數:	xi, 164 p. : : ill. ;; 24 cm.
附註:	Includes index.
標題:	Lebesgue integral.
ISBN:	9780120839711
ISBN:	0120839717
內容註:	The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1); -- Measurable Sets: The Caratheodory Characterization; -- The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between � and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index.
摘要、提要註:	The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels.
電子資源:	An electronic book accessible through the World Wide Web; click for information
電子資源:	http://www.loc.gov/catdir/description/els031/2001092385.html
電子資源:	http://www.loc.gov/catdir/toc/els031/2001092385.html

A primer of Lebesgue integration[electronic resource] /
Bear, H. S.

A primer of Lebesgue integration[electronic resource] /H.S. Bear. - 2nd ed. - San Diego :Academic Press,c2002. - xi, 164 p. :ill. ;24 cm.

Includes index.

The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1); -- Measurable Sets: The Caratheodory Characterization; -- The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between � and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index.

The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.

Mode of access: World Wide Web.

ISBN: 9780120839711

Source: 90218:90218Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

403437
Lebesgue integral.
Index Terms--Genre/Form:

336502
Electronic books.

LC Class. No.: QA312 / .B35 2002eb

Dewey Class. No.: 515/.43

A primer of Lebesgue integration[electronic resource] /
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020 $a 9780120839711
020 $a 0120839717
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035 $a (OCoLC)162129511
035 $a ocn162129511
037 $a 90218:90218 $b Elsevier Science & Technology $n http://www.sciencedirect.com
040 $a OPELS $c OPELS $d OCLCG
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050 1 4 $a QA312 $b .B35 2002eb
082 0 4 $a 515/.43 $2 22
100 1 $a Bear, H. S. $q (Herbert Stanley) $3 403436
245 1 2 $a A primer of Lebesgue integration $h [electronic resource] / $c H.S. Bear.
250 $a 2nd ed.
260 $a San Diego : $b Academic Press, $c c2002.
300 $a xi, 164 p. : $b ill. ; $c 24 cm.
500 $a Includes index.
505 0 $a The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1); -- Measurable Sets: The Caratheodory Characterization; -- The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between � and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index.
520 $a The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels.
533 $a Electronic reproduction. $b Amsterdam : $c Elsevier Science & Technology, $d 2007. $n Mode of access: World Wide Web. $n System requirements: Web browser. $n Title from title screen (viewed on July 25, 2007). $n Access may be restricted to users at subscribing institutions.
650 0 $a Lebesgue integral. $3 403437
655 7 $a Electronic books. $2 local $3 336502
710 2 $a ScienceDirect (Online service) $3 365609
776 1 $c Original $z 0120839717 $z 9780120839711 $w (DLC) 2001092385 $w (OCoLC)47901449
856 4 0 $3 ScienceDirect $u http://www.sciencedirect.com/science/book/9780120839711 $z An electronic book accessible through the World Wide Web; click for information
856 4 2 $3 Publisher description $u http://www.loc.gov/catdir/description/els031/2001092385.html
856 4 1 $3 Table of contents $u http://www.loc.gov/catdir/toc/els031/2001092385.html
994 $a C0 $b TEF

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http://www.sciencedirect.com/science/book/9780120839711
http://www.loc.gov/catdir/description/els031/2001092385.html
http://www.loc.gov/catdir/toc/els031/2001092385.html

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